Details

Time bar (total: 9.0s)

sample89.0ms

Algorithm
intervals
Results
37.0ms871×body80nan
13.0ms295×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×frac-times associate-/r* associate-/r/ add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
113.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
285.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
221.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010081422
146171341
250011341

prune516.0ms

Filtered
126 candidates to 105 candidates (83.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1188126
Fresh000
Picked101
Done000
Total1198127

Merged error: 0b

Counts
127 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.4b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-*r* associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
22.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series896.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
326.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
217.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
241.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify94.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09731339
142241216
250011216

prune469.0ms

Filtered
123 candidates to 99 candidates (80.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh347
Picked011
Done000
Total1256131

Merged error: 0b

Counts
131 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.3b
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
21×associate-*r*
20×add-exp-log add-cbrt-cube
14×pow1
9×associate-*l/
8×associate-*r/ sqrt-prod
7×flip3-- associate-*l* prod-exp flip-- cbrt-unprod
6×sqrt-div
5×pow-prod-down
4×frac-times associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
24.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
19.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
213.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
244.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
212.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09351430
142821295
250031295

prune467.0ms

Filtered
127 candidates to 101 candidates (79.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done011
Total1276133

Merged error: 0b

Counts
133 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
0.3b
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
102×times-frac
76×*-un-lft-identity
62×add-exp-log sqrt-prod
54×add-cube-cbrt
39×associate-*r*
38×add-cbrt-cube
29×associate-*l*
26×prod-exp
17×div-exp
16×difference-of-squares unswap-sqr
14×cbrt-unprod
13×pow1
9×cbrt-undiv associate-/r*
8×distribute-lft-out--
7×associate-*l/
6×frac-times
5×flip3-- pow-prod-down flip--
4×rec-exp sqrt-div 1-exp associate-*r/ associate-/r/ add-log-exp
3×flip3-+ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 209
Calls
4 calls:
13.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
19.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
28.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series919.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
334.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
134.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
276.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013542645
150012372

prune692.0ms

Filtered
221 candidates to 145 candidates (65.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2201221
Fresh123
Picked101
Done022
Total2225227

Merged error: 0b

Counts
227 → 5

regimes145.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s27138×body80nan
425.0ms9117×body80valid

Profiling

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